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Item Details
| Title:
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THE CONJUGACY PROBLEM AND HIGMAN EMBEDDINGS
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| By: |
A.Yu Ol'Shanskii, V. Sapir |
| Format: |
Paperback |
| List price:
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£67.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821835130 |
| ISBN 13: |
9780821835135 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 April, 2004 |
| Series: |
Memoirs of the American Mathematical Society No. 170 |
| Pages: |
133 |
| Description: |
For every finitely generated recursively presented group $\mathcal G$ we construct a finitely presented group $\mathcal H$ containing $\mathcal G$ such that $\mathcal G$ is (Frattini) embedded into $\mathcal H$ and the group $\mathcal H$ has solvable conjugacy problem if and only if $\mathcal G$ has solvable conjugacy problem. |
| Synopsis: |
For every finitely generated recursively presented group $\mathcal G$ we construct a finitely presented group $\mathcal H$ containing $\mathcal G$ such that $\mathcal G$ is (Frattini) embedded into $\mathcal H$ and the group $\mathcal H$ has solvable conjugacy problem if and only if $\mathcal G$ has solvable conjugacy problem. Moreover $\mathcal G$ and $\mathcal H$ have the same r.e. Turing degrees of the conjugacy problem. This solves a problem by D. Collins. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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